65642256 has 30 divisors (see below), whose sum is σ = 183707550. Its totient is φ = 21880704.

The previous prime is 65642231. The next prime is 65642263. The reversal of 65642256 is 65224656.

65642256 is a `hidden beast` number, since 6 + 5 + 642 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46457856 + 19184400 = 6816^2 + 4380^2 .

It is a super-3 number, since 3×65642256³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65642256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227781 + ... + 228068.

It is an arithmetic number, because the mean of its divisors is an integer number (6123585).

Almost surely, 2^65642256 is an apocalyptic number.

It is an amenable number.

65642256 is an abundant number, since it is smaller than the sum of its proper divisors (118065294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65642256 is a wasteful number, since it uses less digits than its factorization.

65642256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455863 (or 455854 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 65642256 is about 8101.9908664476. The cubic root of 65642256 is about 403.3925124710.

The spelling of 65642256 in words is "sixty-five million, six hundred forty-two thousand, two hundred fifty-six".